1.
Simplify
A.
B.
C.
3
15
D.
15
Hint
2.
Simplify
A.
y
3
B.
y
30
C.
D.
Hint
3.
Solve log
4
x
= 3
A.
12
B.
64
C.
81
D.
16
Hint
4.
Solve log
5
(
x
+ 2) + log
5
( 2
x
- 1) = 2.
A.
3
B.
, 3
C.
D.
no solution
Hint
5.
Find log 136.8 to four decimal places.
A.
2.1361
B.
2.1106
C.
2.1418
D.
2.0502
Hint
6.
Find
to three decimal places.
A.
1.6113
B.
1.3617
C.
3.1355
D.
2.3225
Hint
7.
Solve log
3
x
< 4. Check your solution.
A.
0 <
x
< 81
B.
x
< 81
C.
x
< 64
D.
0 <
x
< 64
Hint
8.
Given that log
8
10
1.11 and log
8
60
1.97, find log
8
6.
A.
1.77
B.
1.16
C.
3.08
D.
0.86
Hint
9.
Evaluate ln
e
3 -4
x
.
A.
3 – 4
x
B.
4
x
– 3
C.
e
3
–
e
4
x
D.
(3 – 4
x
)log
10
e
Hint
10.
Solve ln (2
x
+ 3) > 4.
A.
x
> 20.2
B.
x
< 25.8
C.
x
< 20.2
D.
x
> 25.8
Hint
11.
Two cities have insect problems. The insects in City A increase exponentially according to the equation
y
= 120,000
e
0.04
t
. The insects in City B increase exponentially according to the equation
y
= 90,000
e
0.08
t
. When will the cities have an equal amount of insects?
A.
at
t
= 34.66 years
B.
at
t
= 3 years
C.
at
t
= 7.19 years
D.
at
t
= 7.89 years
Hint
12.
Suppose a new car loses value at 10% per year for the first 5 years. When should the owner sell it if they want to receive 75% of what they paid for it?
A.
after 3 years
B.
after 2.73 years
C.
after 2 years
D.
after 2.5 years
Hint